Looking for a subscription systems handle payments, pauses, variable products, and retries?

Does any subscription management system allow administrators to configure recurring payments for specific dates each month? Can they enable customers to pause and reactivate their subscription plans at their discretion? Do these systems empower customers to set their own subscription expiration dates? Furthermore, do they facilitate the creation of subscriptions with variable product types by administrators, and include functionality for automatic retry of subscription payments in case of failed attempts?